Isomorphisms of symplectic groups over commutative rings
type: Item
instance of: scholarly article
title: Isomorphisms of symplectic groups over commutative rings
zbMATH Open document ID: 0542.20029
DOI: 10.1007/BF01982117
author: N. E. Zubov
published in: Algebra and Logic
publication date: 1983-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/187241
review text: The isomorphisms of symplectic groups over arbitrary commutative rings are described. Let R, \(R_ 1\) be commutative rings. It is proved in particular, that every isomorphism between the groups G and \(G_ 1\) where \(ESp_{2n}(R)\leq G\leq Sp_{2n}(R),\quad ESp_{2m}(R_ 1)\leq G_ 1\leq Sp_{2m}(R_ 1),\quad n,m\geq 3\) is standard; it gives an affirmative answer to the question 8.46 by Yu. I. Merzlyakov from The Kourovka Notebook [8th ed. (1982; Zbl 0509.20001)].
Mathematics Subject Classification ID: 20G35
Mathematics Subject Classification ID: 20E36
zbMATH DE Number: 3861437
zbMATH Keywords: epimorphisms of symplectic groups
zbMATH Keywords: standard automorphisms
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3861437